A New Method for Designing Inextensible Flows of Spacelike Curves in 4-Dimensional LP-Sasakian Manifolds

Abstract

In this paper, we construct a new method for inextensible flows of spacelike curves in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional LP-Sasakian manifold. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a spacelike curve in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional LP-Sasakian manifold.